Statistics And Probability Question 548
Question: Three athlete A, B and C participate in a race competetion. The probability of winning A and B is twice of winning C. Then the probability that the race win by A or B, is
Options:
A) $ \frac{2}{3} $
B) $ \frac{1}{2} $
C) $ \frac{4}{5} $
D) $ \frac{1}{3} $
Show Answer
Answer:
Correct Answer: C
Solution:
-
$ P(A)=P(B)=2P(C), $ $ P(A)+P(B)+P(C)=1 $
$ \Rightarrow P(C)=\frac{1}{5} $ and $ P(A)=P(B)=\frac{2}{5} $ Hence $ P(A\cup B)=P(A)+P(B)=\frac{2}{5}+\frac{2}{5}=\frac{4}{5}. $
BETA
